000			02266nam a22002417a 4500
005			20230510135507.0
008			230510b |||||||| |||| 00| 0 eng d
020			_a9789386279699
028			_a: Gifted by NBHM
082			_a510.954 DIV
100			_aDivakaran, P. P.
245			_aThe mathematics of India _b: concepts, methods, connections. _c/ P. P. Divakaran.
260			_a, Singapore _b: Springer _c, 2018.
300			_axi,441p. _c:26cm.
505			_a Beginnings The Aryabhatan Revolution Madhava and the invention of calculus Connections
520			_aThis book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata's invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts
650			_aHistory
650			_aMathematics India History
650			_aDivakaran, P.P.
650			_amathematics and physical sciences
700			_aP. P. Divakaran
942			_cMDL
999			_c60238 _d60238